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Finding the Fourth Proportional to 170.82, 255.54 and 116.55

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Solution

The fourth proportional to 170.82, 255.54 and 116.55 is: 174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.82 : 255.54 = 116.55 : x
  2. Step 2: Convert to fraction form
    170.82/255.54 = 116.55/x
  3. Step 3: Cross multiply
    170.82x = 255.54 × 116.55
  4. Step 4: Simplify right side
    170.82x = 29,783.19
  5. Step 5: Solve for x
    x = 29,783.19/170.82
  6. Step 6: Final answer
    x = 174.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.